Displaying similar documents to “Abstracts of CSc. theses in mathematics”

Abstracts of CSc. theses in mathematics

(1991)

Commentationes Mathematicae Universitatis Carolinae

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Pham, Huu Uyen: Semilinear structure of a-languages. Havlas, Josef: N-ary semiheaps. Charamza, Pavel: Isotonic regression and stochastic approximation. Koukal, Stanislav: Piecewise rational interpolations in the use for solving elliptic boundary value problems. Dontová, Eva: Reflexion function and the Dirichlet and Neumann problems. Kopincová, Edita: Methods of geometrical modelling with the reference to the ruled surfaces of revolution. Slovák, Jan: Natural bundles and operators on...

M -estimators of structural parameters in pseudolinear models

Friedrich Liese, Igor Vajda (1999)

Applications of Mathematics

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Real valued M -estimators θ ^ n : = min ∑ 1 n ρ ( Y i - τ ( θ ) ) in a statistical model with observations Y i ∼ F θ 0 are replaced by ℝ p -valued M -estimators β ^ n : = min ∑ 1 n ρ ( Y i - τ ( u ( z i T β ) ) ) in a new model with observations Y i ∼ F u ( z i t β 0 ) , where z i ∈ ℝ p are regressors, β 0 ∈ ℝ p is a structural parameter and u : ℝ → ℝ a structural function of the new model. Sufficient conditions for the consistency of β ^ n are derived, motivated by the sufficiency conditions for the simpler “parent estimator” θ ^ n . The result is a general method of consistent estimation in a class of nonlinear (pseudolinear) statistical...

Abstracts of Ph.D. theses in mathematics

(2007)

Commentationes Mathematicae Universitatis Carolinae

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Stolín, Radek: Teaching of financial and insurance mathematics at secondary and higher professional schools – coinsurance in bonus-malus systems in automobile insurance. Olejníèková, Jana: Scientific work of Bohumil Bydžovský. Flašková, Jana: Ultrafilters and small sets. Pražák, Pavel: Differential equations and their applications in economics. Bartl, David: Theorems of the alternative and linear programming in infinite-dimensional spaces. Smetana, Petr: Some problems of the private...